Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces

Ambrosio Luigi - Figalli Alessio

year: 2010
journal: Ann. Fac. Sci. Toulouse Math.
abstract: We study points of density $1/2$ of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this class of points. Here density $1/2$ is formulated in terms of the pointwise behaviour of the Ornstein-Uhlenbeck semigroup.

The paper is available on the cvgmt preprint server.